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Finding the Third Proportional to 46,233 and 103,219

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Solution

The third proportional to 46,233 and 103,219 is: 230,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,233 : 103,219 = 103,219 : x
  2. Step 2: Convert to fraction form
    46,233/103,219 = 103,219/x
  3. Step 3: Cross multiply
    46,233x = 103,219 × 103,219
  4. Step 4: Simplify right side
    46,233x = 10,654,161,961
  5. Step 5: Solve for x
    x = 10,654,161,961/46,233
  6. Step 6: Final answer
    x = 230,444.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.